The cohesive energy, or the sum of bond energy, of the less coordinated atoms determines the thermal stability including melting, evaporating and other phase transition.
22.
Surface atoms bind in the solid phase with less cohesive energy because they have fewer neighboring atoms in close proximity compared to atoms in the bulk of the solid.
23.
Note that the attractive potential extends over a long range beyond the length of a chemical bond, so atoms experience cohesive energy with atoms further than their nearest neighbors.
24.
Here E is the Young's modulus, k crack is a constant dependent on the nature and shape of the microcrack and the stress applied and ? s the surface cohesive energy.
25.
According to "'Lindemann s criterion "', the melting temperature of a material is proportional to its cohesive energy, a v ( T M = Ca v ).
26.
A free nanoparticle, as many theoretical models assume, has a different melting temperature ( usually lower ) than a supported particle due to the absence cohesive energy between the nanoparticle and substrate.
27.
There is a linear relationship between cohesive energy density ( lattice energy per volume ) and Wooddell wear resistance, occurring between corundum ( H = 9 ) and diamond ( H = 42.5 ).
28.
Bulk moduli was the first major test of hardness and originally shown to be correlated with the molar volume ( V m ) and cohesive energy ( E c ) as B ~ E c / V m Bulk modulus was believed to be a direct measure of a material s hardness but this no longer remains the dominant school of thought.
29.
The " c " / " a " ratio of 1.63 is the ideal value, establishing a kinship between solid copernicium and the solid noble gases, though its cohesive energy ( enthalpy of crystallization ) should be on the order of that of mercury rather than be near the lower value of the noble gases.
30.
Where \ delta _ 1 and \ delta _ 2 are the cohesive energy densities of the polymer and solvent, respectively, \ bar { V } is the molar volume of the solution ( assuming \ bar { V _ 1 } = \ bar { V _ 2 } ), R is the ideal gas constant, and T is temperature in Kelvins.
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